Publications (40) Publications de ANTONIO MANUEL VARGAS UREÑA

2024

  1. Numerical solution to a Parabolic-ODE Solow model with spatial diffusion and technology-induced motility

    Journal of Computational and Applied Mathematics, Vol. 447

  2. On the Comparison of Two Meshless Finite Difference Methods for Solving Shallow Water Equations

    Bulletin of the Iranian Mathematical Society, Vol. 50, Núm. 1

  3. Solving a fractional chemotaxis system with logistic source using a meshless method

    Applied Mathematics Letters, Vol. 151

  4. Solving the reaction-diffusion Brusselator system using Generalized Finite Difference Method

    AIMS Mathematics, Vol. 9, Núm. 5, pp. 13211-13223

2023

  1. A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids

    Communications on Applied Mathematics and Computation

  2. A spatio-temporal fully meshless method for hyperbolic PDEs

    Journal of Computational and Applied Mathematics, Vol. 430

  3. Application of Finite Element Method to Create a Digital Elevation Model

    Mathematics, Vol. 11, Núm. 6

  4. Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility

    Computers and Mathematics with Applications, Vol. 148, pp. 293-301

  5. Generalized finite difference method applied to solve seismic wave propagation problems. Examples of 3D simulations

    Mathematical Methods in the Applied Sciences

  6. On a Parabolic-ODE chemotaxis system with periodic asymptotic behavior

    Contemporary Mathematics (American Mathematical Society), pp. 787-91

  7. On the numerical solution to a Solow model with spatial diffusion and technology-induced capital mobility

    Engineering Analysis with Boundary Elements, Vol. 157, pp. 541-552

  8. Preface to “Applications of Partial Differential Equations in Engineering”

    Mathematics

  9. Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation

    Engineering Analysis with Boundary Elements, Vol. 153, pp. 213-225

2022

  1. A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs

    Mathematics, Vol. 10, Núm. 11

  2. A meshless numerical method for a system with intraspecific and interspecific competition

    Engineering Analysis with Boundary Elements, Vol. 145, pp. 242-257

  3. Convergence and numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers equation in 2D and 3D via generalized finite difference method

    International Journal of Computer Mathematics, Vol. 99, Núm. 8, pp. 1517-1537

  4. Dynamics in a Chemotaxis Model with Periodic Source

    Mathematics, Vol. 10, Núm. 3

  5. Finite difference method for solving fractional differential equations at irregular meshes

    Mathematics and Computers in Simulation, Vol. 193, pp. 204-216

  6. Numerical Solutions to Wave Propagation and Heat Transfer Non-Linear PDEs by Using a Meshless Method

    Mathematics, Vol. 10, Núm. 3

2021

  1. A note on a meshless method for fractional laplacian at arbitrary irregular meshes

    Mathematics, Vol. 9, Núm. 22